Free-space optical neural networks (ONNs) are promising for their potential in intricate, high-resolution image processing. However, the introduction of nonlinear units, which are crucial for advancing the capabilities of free-space ONNs, poses a significant technical obstacle. Our research explores the feasibility of integrating nonlinear metasurfaces with free-space ONNs to preserve their high-throughput, low-loss advantages while enabling enhanced capabilities. We specifically examine the role of nonlinear amplitude modulation via metasurfaces in enhancing ONN performance. Through simulations, we evaluate its impact on the network's capability in pattern recognition task.
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